Finding the Third Proportional to 380,386 and 588,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,386 : 588,673.50 = 588,673.50 : x
2. Step 2: Convert to fraction form
   380,386/588,673.50 = 588,673.50/x
3. Step 3: Cross multiply
   380,386x = 588,673.50 × 588,673.50
4. Step 4: Simplify right side
   380,386x = 346,536,489,602.25
5. Step 5: Solve for x
   x = 346,536,489,602.25/380,386
6. Step 6: Final answer
   x = 911,012.73